Details

Time bar (total: 13.4s)

sample40.0ms

Algorithm
intervals
Results
22.0ms370×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07163
118123
236123
353123
481123
done81123

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x (+ x y)) 2.0)
0.0b
(* x (+ x y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity associate-*r*
add-cube-cbrt
associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
25.0ms
(* (* x (+ x y)) 2.0)
18.0ms
(* x (+ x y))

series74.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (* x (+ x y)) 2.0)
29.0ms
(* x (+ x y))

simplify3.8s

Counts
49 → 49
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
0729758
12177687
27837607
345567367
done50017367

prune143.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (* (+ x y) 2.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt *-un-lft-identity associate-*l/ associate-*r/ add-cube-cbrt
flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
1 → 20
Calls
1 calls:
31.0ms
(* x (* (+ x y) 2.0))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* x (* (+ x y) 2.0))

simplify2.5s

Counts
23 → 23
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
0525289
11474065
25303945
328013945
done50453945

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* x y))
0.0b
(* (+ (* x x) (* x y)) 2.0)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt add-log-exp
associate-*r*
flip3-+ associate-*l/ flip-+ distribute-lft-out
+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(+ (* x x) (* x y))
21.0ms
(* (+ (* x x) (* x y)) 2.0)

series114.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* x x) (* x y))
66.0ms
(* (+ (* x x) (* x y)) 2.0)

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 3 (924.0ms)

IterNodesCost
0609892
11706843
25776523
326926443
done50126443

prune139.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* x (- (* x x) (* y y))) 2.0)
6.5b
(* x (- (* x x) (* y y)))
15.3b
(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×*-un-lft-identity
10×pow1
add-cube-cbrt
associate-*r* prod-exp cbrt-unprod
associate-*r/
associate-/r* times-frac
flip3-- associate-*l* pow-prod-down associate-*l/ flip--
cbrt-undiv div-exp add-log-exp difference-of-squares
distribute-rgt-in sub-neg distribute-lft-in associate-/r/ *-commutative distribute-lft-out-- associate-/l/
clear-num frac-2neg div-inv associate-/l* unswap-sqr
Counts
3 → 76
Calls
3 calls:
45.0ms
(* (* x (- (* x x) (* y y))) 2.0)
21.0ms
(* x (- (* x x) (* y y)))
45.0ms
(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

series287.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* (* x (- (* x x) (* y y))) 2.0)
79.0ms
(* x (- (* x x) (* y y)))
138.0ms
(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

simplify1.8s

Counts
85 → 85
Iterations

Useful iterations: done (1.8s)

IterNodesCost
013627130
140922756
2157721996
done500821916

prune338.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
19123
done9123

end0.0ms

sample1.0s

Algorithm
intervals
Results
761.0ms11128×body80valid